Amanufacturing process produces bags of chips whose weight is n(16 oz, 1.5 oz). on a given day, the quality control officer takes a sample of 36 bags and computed the mean weight of these bags. the probability that the sample mean weight is below 16 oz is

group of answer choices:
a. 0.55
b. 0.45
c. 0.50
d. 0.60

C. 0.50

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".    

Let X the random variable who represent the weight for bags of chips of a population, and for this case we know the distribution for X is given by:  

n=16 represent the sample size

represent the true mean

represent the population standard deviation

Where and  

And let represent the sample mean, the distribution for the sample mean is given by:  

The probability that the sample mean weight is below 16 oz is:

So the best option for this case is 0.5

step-by-step explanation:

the options are kind of confusing. i can tell you what i see going on here when i look at the graph.

the class and exam medians are closely related, and it looks like the low outlier on the exam did pull the median lower. [tex][/tex]